A number multiplied by itself. the product is mixed fraction 5over4/9 find the number

asked Nov 7, 2023 164k views

1 vote

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2 votes

Answer: x=-7/3 x=7/3

Explanation:

$\displaystyle\\x*x=5(4)/(9)\\\\x^2=(5(9)+4)/(9) \\\\x^2=(45+4)/(9) \\\\x^2=(49)/(9) \\\\x^2=(7^2)/(3^2) \\\\x^2=((7)/(3))^2$

Extract the square root of both parts of the equation:

$\displaystyle\\x=б\sqrt{((7)/(3) )^2} \\\\x=б|(7)/(3) |\\\\x=б(7)/(3)$

Thruston answered Nov 14, 2023